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Identifying a Space-Dependent Source Term and the Initial Value in a Time Fractional Diffusion-Wave Equation.
- Source :
-
Mathematics (2227-7390) . Mar2023, Vol. 11 Issue 6, p1521. 19p. - Publication Year :
- 2023
-
Abstract
- This paper is focused on the inverse problem of identifying the space-dependent source function and initial value of the time fractional nonhomogeneous diffusion-wave equation from noisy final time measured data in a multi-dimensional case. A mollification regularization method based on a bilateral exponential kernel is presented to solve the ill-posedness of the problem for the first time. Error estimates are obtained with an a priori strategy and an a posteriori choice rule to find the regularization parameter. Numerical experiments of interest show that our proposed method is effective and robust with respect to the perturbation noise in the data. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 162853069
- Full Text :
- https://doi.org/10.3390/math11061521